Investigation of Magnetic Field Effect on Nanofluid Mixed Convection inside Lid-Driven K-shaped Enclosure Using Lattice Boltzmann Method

In the present work, for the first time, mixed convection heat transfer of nanofluid in a uniform magnetic field inside a lid-driven K-shaped cavity is simulated via lattice Boltzmann method. Both left and right walls are maintained at constant cold temperature. The bottom -horizontal wall is maintained at constant hot temperature. Temperature on the top-horizontal wall is varied linearly. The flow and temperature field is calculated by solving flow and temperature distribution functions. The effects of different parameters such as Reynolds number (50-200), Hartman number (0-60), aspect ratio of the K-shaped cavity (0.4-1), nanoparticle volume fraction (0-0.05) on mixed convective heat transfer are investigated. The obtained result show that for a fixed Hartman number, increase in aspect ratio and Reynolds number causes increase in heat transfer. Also in a fixed Reynolds number and aspect ratio, increasing of Hartman number decreases velocity of flow and heat transfer. In addition, changing solid volume fraction can affect heat transfer directly.